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Finding the Fourth Proportional to 7,861.26, 11,793.33 and 2,596.63

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Solution

The fourth proportional to 7,861.26, 11,793.33 and 2,596.63 is: 3,895.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.26 : 11,793.33 = 2,596.63 : x
  2. Step 2: Convert to fraction form
    7,861.26/11,793.33 = 2,596.63/x
  3. Step 3: Cross multiply
    7,861.26x = 11,793.33 × 2,596.63
  4. Step 4: Simplify right side
    7,861.26x = 30,622,914.48
  5. Step 5: Solve for x
    x = 30,622,914.48/7,861.26
  6. Step 6: Final answer
    x = 3,895.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.